SOLUTION: Dear tutors, I am desperate, I need help plotting and graphing these questions. Any assistance will be greatfully appreciated! Thank you! Plot the graphs of the following functi

Question 172076: Dear tutors, I am desperate, I need help plotting and graphing these questions. Any assistance will be greatfully appreciated! Thank you!
Plot the graphs of the following functions and graph.
1. f(x)=7x
2. f(x)=4x - 3
3. f(x)=(1/5)x
4. f(x)= log3x

Found 2 solutions by Alan3354, solver91311:
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Plot the graphs of the following functions and graph.
1. f(x)=7x
2. f(x)=4x - 3
3. f(x)=(1/5)x
4. f(x)= log3x
------------------
The 1st 3 are linear (no exponents other than 1), so they're straight lines. To graph a straight, you need only 2 points, then draw the line thru them.
You can substitute y for f(x), and label the graph x and y, this is common.
---------
1. y=7x
Find 2 points.
At x = 0, y = 0, so 1 point is (0,0), the origin.
At x = 1, y = 7, so another point is (1,7)
Draw a line thru those 2 points.
-------------
2. y=4x - 3
At x = 0, y = -3 --> (0,-3) Point 1
At x = 2, y = 5 --> (2,5) Point 2
-------------
3. y=x/5
Do the same thing.
-------------
4. y= log3x
This one is different, it's not a straight line. You have to find several points, then connect them with a smooth continuous line by hand.
If you have Excel, you can use that to find the points. Excel will also draw the graph for you.
In the case of logs, x has to be >0
Try it, if you need more help email me at gsihoutx@aol.com

Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
Process:
Pick a value for . Substitute this value for x in your function and do the arithmetic to determine the value of . Then plot the point (,).

Repeat.

You only have to plot 2 points for each of problems 1, 2, and 3 because they all graph as straight lines -- and two points determine a line. But number 4 is a logarithmic curve. Use your calculator. Since the base is not specified, you must assume base 10 logs.

Advice for selecting values of for problem 4:

Make sure that for all of your selections: The domain of is

The graph will intersect the x-axis at because -- always.

Make sure you pick a couple of points such that .

Pick a couple of points such that

Finally, select several points such that
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